Atkin-Lehner |
2- 3- 19- 53- |
Signs for the Atkin-Lehner involutions |
Class |
18126q |
Isogeny class |
Conductor |
18126 |
Conductor |
∏ cp |
44 |
Product of Tamagawa factors cp |
deg |
76032 |
Modular degree for the optimal curve |
Δ |
83134381031424 = 222 · 39 · 19 · 53 |
Discriminant |
Eigenvalues |
2- 3- 1 -1 0 4 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-68432,6893363] |
[a1,a2,a3,a4,a6] |
Generators |
[93:1105:1] |
Generators of the group modulo torsion |
j |
48614736127265209/114038931456 |
j-invariant |
L |
8.3663223590651 |
L(r)(E,1)/r! |
Ω |
0.6089899281242 |
Real period |
R |
0.31222797159295 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
6042h1 |
Quadratic twists by: -3 |